Chiral symmetry of heavy-light scalar mesons withUA(1)symmetry breaking

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
V. Dmitrašinović
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Scalar Mesons ◽  
Light Scalar

scholarly journals Inverse mass hierarchy of light scalar mesons driven by anomaly-induced flavor breaking

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Yoshiki Kuroda ◽  
Masayasu Harada ◽  
Shinya Matsuzaki ◽  
Daisuke Jido
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Scalar Meson ◽  
Chiral Symmetry Breaking ◽  
Linear Sigma Model ◽  
Mass Hierarchy ◽  
Scalar Mesons ◽  
Light Scalar ◽  
Symmetry Breaking Term ◽  
Breaking Term

Abstract We propose a novel mechanism to reproduce the observed mass hierarchy for scalar mesons lighter than 1 GeV (called the inverse hierarchy), regarding them as mesons made of a quark and an anti-quark ($q\bar{q}$ mesons). The source is provided by the SU(3) flavor-symmetry breaking induced by the U(1) axial anomaly. In particular, the anomaly term including the explicit chiral symmetry breaking plays a significant role in the light scalar meson spectrum. To be concrete, we construct a linear sigma model for scalar mesons of $q\bar{q}$ type together with their pseudoscalar chiral partners, including an anomaly-induced explicit chiral symmetry-breaking term. We find that, due to the proposed mechanism, the inverse hierarchy, i.e., $m\left[ a_0 (980) \right] \simeq m\left[ f_0 (980) \right] > m \left[ K_0^\ast (700) \right] > m \left[ f_0(500) \right]$, is indeed realized. Consequently, the quark content of $f_0 (500)$ is dominated by the isoscalar $\bar uu+ \bar dd$ component, and $f_0 (980)$ by the strange quark bilinear one, $s\bar{s}$.

ISOVECTOR COMPONENTS OF THE SCALAR σ-MESON FAMILY AS NEW INGREDIENTS FOR NUCLEAR MATTER MODELS

2007 ◽  
Vol 16 (02n03) ◽  
pp. 325-332 ◽  
Author(s):  
EDUARDO LÜTZ ◽  
MOISÉS RAZEIRA ◽  
CÉSAR A. Z. VASCONCELLOS ◽  
BARDO E. J. BODMANN ◽  
FERNANDO PILOTTO
Keyword(s):  
Equation Of State ◽  
Neutron Stars ◽  
Nuclear Matter ◽  
Chiral Symmetry ◽  
Symmetry Transformation ◽  
Recent Analysis ◽  
Scalar Mesons ◽  
The Family ◽  
Macroscopic Properties ◽  
Light Scalar

On the basis of a chiral symmetry transformation, we predict an isovector component for the family of light scalar mesons, i.e. partners of the σ-meson. Such a contribution may be necessary to tune the equation of state of nuclear matter in order to comply with severe constraints from a recent analysis of observational macroscopic properties of neutron stars.

scholarly journals Four-Quark States from Functional Methods

2020 ◽  
Vol 61 (4) ◽  
Author(s):  
Gernot Eichmann ◽  
Christian S. Fischer ◽  
Walter Heupel ◽  
Nico Santowsky ◽  
Paul C. Wallbott
Keyword(s):  
Symmetry Breaking ◽  
Scalar Meson ◽  
Chiral Symmetry Breaking ◽  
The Other ◽  
Feature Article ◽  
Exotic Mesons ◽  
Scalar Mesons ◽  
Functional Methods ◽  
Internal Structures ◽  
Light Scalar

AbstractIn this feature article we summarise and highlight aspects of the treatment of four-quark states with functional methods. Model approaches to those exotic mesons almost inevitably have to assume certain internal structures, e.g. by grouping quarks and antiquarks into (anti-)diquark clusters or heavy-light $$q{\bar{q}}$$ q q ¯ pairs. Functional methods using Dyson–Schwinger and Bethe–Salpeter equations can be formulated without such prejudice and therefore have the potential to put these assumptions to test and discriminate between such models. So far, functional methods have been used to study the light scalar-meson sector and the heavy-light sector with a pair of charmed and a pair of light quarks in different quantum number channels. For all these states, the dominant components in terms of internal two-body clustering have been identified. It turns out that chiral symmetry breaking plays an important role for the dominant clusters in the light meson sector (in particular for the scalar mesons) and that this property is carried over to the heavy-light sector. Diquark-antidiquark components, on the other hand, turn out to be almost negligible for most states with the exception of open-charm heavy-light exotics.

scholarly journals New information on the strong isospin symmetry breaking in the reactions of the a00(980) and f0(980) resonance production

2019 ◽  
Vol 212 ◽  
pp. 03002
Author(s):  
N.N. Achasov ◽  
G.N. Shestakov
Keyword(s):  
Symmetry Breaking ◽  
Isospin Symmetry ◽  
Resonance Production ◽  
Isospin Breaking ◽  
Scalar Mesons ◽  
New Information ◽  
Light Scalar ◽  
Isospin Symmetry Breaking ◽  
Production Mechanisms

We discuss the isotopic symmetry breaking as a tool of studying the production mechanisms and nature of light scalar mesons. The anomalous isospin breaking effects can appear not only due to the $ a_0^0(980) - {f_0}(980) $ mixing, but also for any mechanism of the production of the $ \bar{K} $ pairs with a definite isospin in the S wave.

scholarly journals A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 122
Author(s):  
Rudolf Golubich ◽  
Manfried Faber
Keyword(s):  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Vortex Model ◽  
Center Vortex ◽  
Vortex Detection

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

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